Vacuum polarization for neutral particles in 2+1 dimensions
Qiong-gui Lin
Abstract
In 2+1 dimensions there exists a duality between a charged Dirac particle coupled minimally to a background vector potential and a neutral one coupled nonminimally to a background electromagnetic field strength. A constant uniform background electric current induces in the vacuum of the neutral particle a fermion current which is proportional to the background one. A background electromagnetic plane wave induces no current in the vacuum. For constant but nonuniform background electric charge, known results for charged particles can be translated to give the induced fermion number. Some new examples with infinite background electric charge are presented. The induced spin and total angular momentum are also discussed.
Create a lesson
Related papers
A universal sector of N=1 class S spectra
Ritabrata Bhattacharya, Abhay Katyal, Oscar Varela
Reflected entropy and islands in JT gravity from partial dimensional reduction
Debarshi Basu, Himanshu Chourasiya
q-deformed Weil-Petersson Volumes from the Spectral Edge of DSSYK and Supersymmetric Extensions
Wasif Ahmed, Joydeep Naskar, Krishan Saraswat
Modular Properties of Generalised Gibbs Ensembles: The Deformed KdV Hierarchy
Faisal Karimi
The Quasiparticle Ansatz for Relativistic Continuous Matrix Product States
Silviu S. Pufu, Benjamin T. Søgaard, Spyros Terlemes
Anomaly induced transport in holographic superconductors
Ashis Tamang, Nishal Rai, Javier Esteban et al.